Answer:
About 1.03m
Step-by-step explanation:
A=36
L=35
w=A/L=36/35 which is about 1.03m
Let R be the region in the first quadrant bounded above by the graph of y=1−x^2 and below by the graph of y=1−√x, as shown in the figure above. What is the area of the region?
If R be the region in the first quadrant bounded above by the graph of y=1−x² and below by the graph of y=1−√x then area is 1/3.
To find the area of the region bounded by the graphs of y = 1 - x² and y = 1 - √x in the first quadrant.
we need to determine the points of intersection and integrate the difference between the two functions over that interval.
To find the points of intersection, we set the two functions equal to each other:
1 - x²= 1 - √x
x²= √x
Squaring both sides again, we have:
x⁴ = x
x(x³ - 1) = 0
This equation gives us two potential solutions: x = 0 and x = 1.
To determine the limits of integration, we need to find the x-value where the two curves intersect.
Since y = 1 - √x represents the upper curve, we can set the two functions equal to each other and solve for x:
1 - x² = 1 - √x
x² = √x
x⁴ = x
Since we are only interested in the first quadrant, the solution x = 0 is not relevant.
Therefore, the only point of intersection is x = 1.
Integrating the difference between the two functions over the interval [0, 1] will give us the area of the region R:
A = ∫[0, 1] (1 - x²) - (1 - √x) dx
Expanding and simplifying the integrand:
A = ∫[0, 1] 1 - x² - 1 + √x dx
A = ∫[0, 1] -x² + √x dx
Integrating each term separately:
A = [-x³/3 + (2/3)x^(3/2)]|[0, 1]
A = [-(1/3) + (2/3)] - [0]
A = 1/3
Therefore, the area of the region R is 1/3.
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In an invasion game such as Soccer, Football, or Handball, how can you tell which team is offense and which team is defense?
Answer:
The easiest way to determine whose offense or defense would be to check where the players are positioned at. Obviously, the main goals of Soccer or Football are in the back meaning people who are defending the goal are most likely to be behind the teammates who are offensive (common sense).
Step-by-step explanation:
8 An expression is shown. 7 - 3 x 2 + 6 + 3 Rewrite the expression so that it has a value of 35 by using one or more sets of parentheses. Answer
Answer:
(7-3) x (2+6) + 3 = 35
Step-by-step explanation:
7 - 3 = 4
2 + 6 = 8
4 x 8 = 32
32 + 3 = 35
Answer:
7-3(2+6)+3
4(8)+3
32+3
35
Step-by-step explanation:
For each statement, determine if the statement can be true or if the statement can never be true.
Select the correct choice in each row.
Two boys san around a track that is 400 meters long. Miguel ran around the track three
times in 240 seconds. Joseph ran around the track three times in 200 seconds. What was the
difference between the speeds of the two boys?
A.
1 meter per second
5 meters per second
B.
C.
6 meters per second
D.
11 meters per second
Using proportions, it is found that the difference between the speeds of the two boys was of:
A. 1 meter per second.
What is a proportion?A proportion is a fraction of a total amount. Following this concept, velocity is distance divided by time.
In this problem, Miguel ran 1 lap = 400 meters each 240/3 = 80 seconds, hence his speed is given by:
sM = 400/80 = 5 m/s.
Joseph ran 400 metters each 200/3 = 66.67 seconds, hence his speed is given by:
sJ = 400/66.67 = 6 m/s.
The difference is given by:
6 m/s - 5 m/s = 1m/s.
Hence, option A is correct.
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What is the slope of
the line?
Give your answer as
a fraction in simplest
form.
Answer:
3/5
Step-by-step explanation:
Rhis time we dont have another dot, so we just start from zero. We rise 3 and then run 5.
Hoped this helped!!
PLEASEEE HELPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
98Step-by-step explanation:
the solution is in the picture
Peter earns each hour for the first 40 hours he works each week. For every hour, he works after 40 hours he earns $12 each hour last week, Peter earned $444. Which equation could be used to find the number of hours, h, during which Peter earned $12 last week?
Answer:
5
Step-by-step explanation:
I said so THATS WHY
explain how the model for 3/5 - 1/2 9s is different from the model for 3/5 - 3/10
The model is different because it has different denominator and numerator
Consider the expression (x+5)(x-7)
Answer:
x^2-2x-35
Step-by-step explanation:
(x+5)(x-7)
x*x = x^2
-7*x= -7x
+5*x=+5x
+5*-7=-35
x^2-7x+5x-35
x^2-2x-35
Help picture below problem 11
Answer:
B) angle B
Step-by-step explanation:
Since the question is telling you that both the triangles are essentially the same, you just have to look to see which letter of triangle ABC is in the same general place as triangle DEF.
In this case angle B is in the same general spot as angle E, so therefore B is your answer.
Hope this helps you :)
choose a random number between 1 and 20 . What is the probability that the number is greater than 5 and less than 15
Answer:
MY RANDOM ANSWER : my answer is 3
Step-by-step explanation:
The probablitiy of that is 9
3x+2=2x+7 solve for x pls it homework due for tomorrow
Answer:
× = 5
Step-by-step explanation:
3x + 2 = 2x + 7
x + 2 = 7
x = 5
Answer:
2.5[tex] \: [/tex]
Given Equation,
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 3x+2=2x+7}}}}}}} \\ \\[/tex]
Subtracting 2 from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+2 - 2=2x+7-2}}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x+5}}}}}}} \\ \\[/tex]
Subtracting 2x from both sides we get :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x-2x=2x+5-2x}}}}}}} \\ \\ [/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x=5}}}}}}} \\ \\ [/tex]
Dividing 2 from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = \frac{5}{2} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak {x = 2.5 }}}}}}} \\ \\[/tex]
Therefore,
The value of x is 2.5Help picture below 3 problems easy will give brainlest
Answer:
7. 64
22. 12.9
12. 22
Step-by-step explanation:
x = 154 154 - 90 = 64
15% of 86 is 12.9
A triangle's angles must all add up to 180.
90 + 68 = 158 180 - 158 = 22
How many quarts is 16000 gallons
64000quarts is 16000gallons
Answer:
64,000 quarts are in 16,000 gallons
Step-by-step explanation:
Formula - Divide the volume by 4
Hope this helps (:
Ann opened a savings account with an initial deposit of $250. Which combination will result in a zero balance in Ann's account?
A deposit $20 in the first week and withdraw $270 in the second week
B deposit $270 in the first week and withdraw $20 in the second week
C deposit $20 in the first week and withdraw $250 in the second week
D deposit $250 in the first week and withdraw $20 in the second week
Answer:
The answer is A 250+20 then 270-270=0
A company issued 70 shares of $100 par value common stock for $8,500 cash. The journal entry to record the issuance is:
The journal entry to record the issuance is:Debit cash $8,500; Credit paid-in capital excess par value; Credit preferred stock $7,000
Journal entryBased on the information given the appropriate journal entry to record the issuance is:
Journal entry
Debit Cash $8,500
Credit paid-in capital excess par value $1,500
($8,500-$7,000)
Credit preferred stock $7,000
(70 shares×$100)
(To record the issuance)
Therefore the journal entry to record the issuance is:Debit cash $8,500; Credit paid-in capital excess par value; Credit preferred stock $7,000
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The measure of the arc from A to B that does not pass through C?
A-160
B-140
C-100
D-90
Answer: C
Step-by-step explanation:
In the accompanying diagram, AB is a diameter of circle O, FECA and
FBG are secants, AD, DE, EB = 1:3:2 and BG = 40°. Find the measures of AD,
DE, EB, and AG.
Check the picture below.
so to split 180 in a 1 : 3 : 2 ratio, we'll simply divide 180 by (1 + 3 + 2) and distribute accordingly
[tex]\cfrac{180}{1+3+2}\implies 30\qquad \qquad \stackrel{1}{1(30)}~~:~~\stackrel{3}{3(30)}~~:~~\stackrel{2}{2(30)}\implies 30~:90~:60 \\\\[-0.35em] ~\dotfill\\\\ \widehat{AG}=180+40\implies \widehat{AG}=220[/tex]
whats the answer.......
Answer:
up
Step-by-step explanation:
We should go 4 units up from the zero in the coordinate plane.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
Given that, in the ordered pair (3, 4), the value of y is 4.
Here, in the ordered pair (3, 4), 3 is x-coordinate and 4 is y-coordinate.
The perpendicular distance from the x-coordinate 3 and y-axis is 3 units, which is 3 units right to the y-axis.
The perpendicular distance from the y-coordinate 4 and x-axis is 4 units, which is 4 units up to the x-axis.
Hence, we should go 4 units up from the zero in the coordinate plane.
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solve for x and y please
Answer:
Step-by-step explanation:
The 2 triangles are similar so corresponding sides are in the same ratio.
3/x = 6/16
6x = 48
x = 8.
9/y = 6/16 = 3/8
3y = 72
y = 24.
Answer:
y = 24 mx = 8 musing proportional equation:
[tex]\rightarrow \sf \dfrac{AC}{CE} = \dfrac{DB}{DE}[/tex]
[tex]\hookrightarrow \sf \dfrac{9}{6} = \dfrac{y}{16}[/tex]
[tex]\hookrightarrow \sf 9(16)} = {6y}[/tex]
[tex]\hookrightarrow \sf y = 24[/tex]
====================
[tex]\rightarrow \sf \dfrac{AE}{CE} = \dfrac{EB}{DE}[/tex]
[tex]\hookrightarrow \sf \dfrac{3}{6} = \dfrac{x}{16}[/tex]
[tex]\hookrightarrow \sf 3(16)} = 6x[/tex]
[tex]\hookrightarrow \sf x = 8[/tex]
6. Which describes a situation in which two
quantities must have a sum of 0?
A. a temperature above 0°F and another
temperature that is below 0°F
B. an elevator that is below the lobby
and then is above the lobby
C. an element that has the same number
of electrons as protons
D. a golfer who plays two rounds and has
one above par and one below
par.
Find the surface area
I WILL GIVE BRAINIEST!!!! Help!!!! 4. A stone nudged off the Royal Gorge Bridge near Cañon City, Colorado, falls 1053 feet before
hitting water. Because its speed increases as it falls, the distance it travels each second
increases. During the first second, it drops 16 feet. During the next second, it drops an
additional 48 feet. During the third second, it drops another 80 feet. The distances traveled
each second form an arithmetic sequence:
16, 48, 80, ...
Part I: How far does the stone fall during the 5th second? Find and use the explicit formula.
a. What is the first term of the sequence?
b. What is d, the common difference?
c. Write the explicit formula in function notation. Use f(n) = f(1) + (n - 1)d, where f(1)
Answer:
First term = a= 16.
Common difference, d, = 32.
Answer for the fifth second is = 144 feet.
Step-by-step explanation:
This question is simply an Arithmetic Progression, AP,.
so, the 1st second represents the first term and so on.
for the common difference, you just subtract the first from the second term and confirm by subtracting the second from the third term and i got 32.
A car is considered to be _____.
all of the above
depreciable
collateral
an asset
Answer: The answer is letter B
Step-by-step explanation:
What is the surface area for the following shape?
Answer:
The answer is : A 192 in cubic
Step-by-step explanation:
100 % correct
Answer:
208 in^2
Step-by-step explanation:
front: 6x4 = 24
back: 6x4 = 24
right: 6x8 = 48
left: 6x8 = 48
top: 4x8 = 32
bottom: 4x8 = 32
24+24+48+48+32+32 = 208
Question 6 of 10
The graph of f(x) -13*-6 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
10+
9)
5
25-20-15-10
5 10 15 20 25
10-13-6-10-
-15+
O A 9-364-43
OB. 863)-23* +3
OC. 900---13--6
D. g(x) - 3* +2
The graph is attached.
Step-by-step explanation:
This will be an exponential function, which means it will be a smooth curve.
The y-intercept will be 35, since this is the starting population.
Since the population is increasing, the curve will increase as well.
I need help on the first and second ones
Answer:
I only know number 2 sorry
A triangle has angle measurements of 31°, 10°, and 139º. What kind of triangle is it?
Answer:
Its a Obtuse Angled Triangle
Step-by-step explanation:
This is due to one of the angles being over 90 Degrees
Consider the expression 6x6^0x6^-3
Answer:
6*(6^-3)=0.027777 recurring
Step-by-step explanation:
6^0=1
6^-3=0.004629629 recuuring
0.004629629 recurring *6=0.0.02777recurring